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Year 12 General Units 3 and 4
Home
Headstart
Program for 2024
Summary Book
Chapter 1 Data Analysis
Holiday Homework
Year 12 Parent Information Evening
Data Analysis
Chapter 1: Displaying and describing data distributions
Chapter 1 Text
Ex 1A Types Of Data
Ex 1B Displaying and describing the distributions of categorical variables
Ex 1C Displaying and describing numerical data
Ex 1D Dot plots and stem plots
Ex 1E Using a logarithmic (base 10) scale to display data.
Ex 1F Measures Of Centre And Spread
Ex 1G The five-number summary and the box plot
Review and Holiday Homework
Ex 1H The normal distribution and the 68–95–99.7% rule
Chapter 1 Review
Chapter 2: Investigating associations between two variables
Chapter 2 Text
Ex 2A Classifying Variables
Ex 2B Investigating associations between categorical variables
Ex 2C Investigating the association between a numerical and a categorical v
Ex 2D Investigating associations between two numerical variables
Ex 2E How to interpret a scatterplot
Ex 2F Calculating the correlation coefficient
Ex 2G The coefficient of determination
Ex 2I Which graph?
Chapter 2 Review
Chapter 3: Investigating and modelling linear associations
Chapter 3 Text
Ex 3A Fitting a least squares regression line to numerical data
Ex 3B Using the least squares regression line to model a relationship
Ex 3C Conducting a regression analysis using data
Chapter 3 Review
Chapter 4: Data transformation
Chapter 4 Text
Data Transformations Introduction
4A The squared transformation
4B The log transformation
4C The reciprocal transformation
4D Choosing and applying the appropriate transformation
The Data Transformation Song
Chapter 4 Review
Chapter 5: Investigating and modelling time series
Ex 5A Time series data
Ex 5B Smoothing a time series using moving means
Ex 5C Smoothing a time series plot using moving medians
Ex 5D Seasonal indices
Ex 5E Fitting a trend line and forecasting
Chapter 5 Review
Chapter 6: Revision: Data analysis
Ex 6A Exam 1 style questions: Univariate data
Ex 6B Exam 1 style questions: Associations
Ex 6C Exam 1 style questions: Regression and data transformation
Ex 6D Exam 1 style questions: Time series
Ex 6E Exam 2 style questions
Data Anaysis SAC Prepartation
Previous Data Analysis SAC
Data Booklet
Data Booklet
Data Booklet Solutions
Financial Mathematics
Chapter 7: Modelling growth and decay using recursion
Ex 7A Sequences and recurrence relations
Ex 7B Modelling linear growth and decay
Ex 7C Using an explicit rule for linear growth or decay
Ex 7D Modelling geometric growth and decay
Ex 7E Using an explicit rule for geometric growth or decay
Ex 7F Interest rates over different time periods and effective interest rat
Chapter 7 Review
Chapter 8: Reducing balance loans, ann reducing-balance loads and annuities
Ex 8A Combining linear and geometric growth or decay to model compound inte
Ex 8B Using recurrence relations to analyse and model reducing balance loan
Ex 8C Amortisation tables
Ex 8D Analysing financial situations using amortisation tables
Ex 8E Using a finance solver to find the balance and final payment
Ex 8F Using A Finance Solver To Find Interest Rates
Ex 8G Solving multistep financial problems
Ex 8H Interest-only loans
Ex 8I Perpetuities
Chapter 8 Review
Chapter 9: Revision: recursion and financial modelling
Chapter 9 Exam Style Questions
Financial SAC Preparation
Past Paper(s)
Past Exam Questions
Financial Booklet
Financial Booklet
Financial Booklet Solutions
Financial Summary Notes
Matrices
Chapter 10: Matrices
Ex 10A What is a matrix?
Ex 10B Using matrices to represent information
Ex 10C Matrix arithmetic: addition, subtraction and scalar multiplication
Ex 10D Matrix arithmetic: the product of two matrices
Ex 10E Matrix inverse, the determinant and matrix equations
Ex 10F Binary, permutation and communication matrices
Ex 10G Dominance matrices
Chapter 10 Review
Chapter 11: Transition matrices and Leslie matrices
Ex 11A Transition matrices - setting up a transition matrix
Ex 11B Interpreting transition matrices
Ex 11C Transition matrices - using recursion
Ex 11D Transition matrices - using the rule
Ex 11E Leslie matrices
Chapter Review
Chapter 12: Revision: Matrices
Matrices Booklet
Matrices Booklet
Matrices Booklet Solutions
Matrices SAC Preparation
Networks
Chapter 13: Graphs, networks and trees: travelling and connecting problems
Ex 13A Graphs and networks
Ex 13B Adjacency matrices
Ex 13C Exploring and travelling
Ex 13D Weighted graphs and networks
Ex 13E Dijkstra's algorithm
Ex 13F Trees and minimum connector problems
Chapter 13 Review
Chapter 14: Flow, matching and scheduling problems
Ex 14A Flow problems
Ex 14B Matching and allocation problems
Ex 14C Precedence tables and activity networks
Ex 14D Scheduling problems
Ex14E Crashing
Chapter 14 Review
Chapter 16: Revision: Networks and decision mathematics
Networks Booklet
Networks Booklet
Networks Booklet Solutions
Networks SAC Preparation
2019 SJC Networks SAC
Exam Revision
Before and During The Exam
Exam Prep Financial Mathematics
2016 Past Papers
2017 Past Papers
2018 Past Papers
2019 Past Papers
2020 Current Practise Papers
2021 Practice Papers
2023 Practice Papers
2024 Practice Papers
Lesson Starters
Finding the interest rate from a graph
Year 12 General Units 3 and 4
Home
Headstart
Program for 2024
Summary Book
Chapter 1 Data Analysis
Holiday Homework
Year 12 Parent Information Evening
Data Analysis
Chapter 1: Displaying and describing data distributions
Chapter 1 Text
Ex 1A Types Of Data
Ex 1B Displaying and describing the distributions of categorical variables
Ex 1C Displaying and describing numerical data
Ex 1D Dot plots and stem plots
Ex 1E Using a logarithmic (base 10) scale to display data.
Ex 1F Measures Of Centre And Spread
Ex 1G The five-number summary and the box plot
Review and Holiday Homework
Ex 1H The normal distribution and the 68–95–99.7% rule
Chapter 1 Review
Chapter 2: Investigating associations between two variables
Chapter 2 Text
Ex 2A Classifying Variables
Ex 2B Investigating associations between categorical variables
Ex 2C Investigating the association between a numerical and a categorical v
Ex 2D Investigating associations between two numerical variables
Ex 2E How to interpret a scatterplot
Ex 2F Calculating the correlation coefficient
Ex 2G The coefficient of determination
Ex 2I Which graph?
Chapter 2 Review
Chapter 3: Investigating and modelling linear associations
Chapter 3 Text
Ex 3A Fitting a least squares regression line to numerical data
Ex 3B Using the least squares regression line to model a relationship
Ex 3C Conducting a regression analysis using data
Chapter 3 Review
Chapter 4: Data transformation
Chapter 4 Text
Data Transformations Introduction
4A The squared transformation
4B The log transformation
4C The reciprocal transformation
4D Choosing and applying the appropriate transformation
The Data Transformation Song
Chapter 4 Review
Chapter 5: Investigating and modelling time series
Ex 5A Time series data
Ex 5B Smoothing a time series using moving means
Ex 5C Smoothing a time series plot using moving medians
Ex 5D Seasonal indices
Ex 5E Fitting a trend line and forecasting
Chapter 5 Review
Chapter 6: Revision: Data analysis
Ex 6A Exam 1 style questions: Univariate data
Ex 6B Exam 1 style questions: Associations
Ex 6C Exam 1 style questions: Regression and data transformation
Ex 6D Exam 1 style questions: Time series
Ex 6E Exam 2 style questions
Data Anaysis SAC Prepartation
Previous Data Analysis SAC
Data Booklet
Data Booklet
Data Booklet Solutions
Financial Mathematics
Chapter 7: Modelling growth and decay using recursion
Ex 7A Sequences and recurrence relations
Ex 7B Modelling linear growth and decay
Ex 7C Using an explicit rule for linear growth or decay
Ex 7D Modelling geometric growth and decay
Ex 7E Using an explicit rule for geometric growth or decay
Ex 7F Interest rates over different time periods and effective interest rat
Chapter 7 Review
Chapter 8: Reducing balance loans, ann reducing-balance loads and annuities
Ex 8A Combining linear and geometric growth or decay to model compound inte
Ex 8B Using recurrence relations to analyse and model reducing balance loan
Ex 8C Amortisation tables
Ex 8D Analysing financial situations using amortisation tables
Ex 8E Using a finance solver to find the balance and final payment
Ex 8F Using A Finance Solver To Find Interest Rates
Ex 8G Solving multistep financial problems
Ex 8H Interest-only loans
Ex 8I Perpetuities
Chapter 8 Review
Chapter 9: Revision: recursion and financial modelling
Chapter 9 Exam Style Questions
Financial SAC Preparation
Past Paper(s)
Past Exam Questions
Financial Booklet
Financial Booklet
Financial Booklet Solutions
Financial Summary Notes
Matrices
Chapter 10: Matrices
Ex 10A What is a matrix?
Ex 10B Using matrices to represent information
Ex 10C Matrix arithmetic: addition, subtraction and scalar multiplication
Ex 10D Matrix arithmetic: the product of two matrices
Ex 10E Matrix inverse, the determinant and matrix equations
Ex 10F Binary, permutation and communication matrices
Ex 10G Dominance matrices
Chapter 10 Review
Chapter 11: Transition matrices and Leslie matrices
Ex 11A Transition matrices - setting up a transition matrix
Ex 11B Interpreting transition matrices
Ex 11C Transition matrices - using recursion
Ex 11D Transition matrices - using the rule
Ex 11E Leslie matrices
Chapter Review
Chapter 12: Revision: Matrices
Matrices Booklet
Matrices Booklet
Matrices Booklet Solutions
Matrices SAC Preparation
Networks
Chapter 13: Graphs, networks and trees: travelling and connecting problems
Ex 13A Graphs and networks
Ex 13B Adjacency matrices
Ex 13C Exploring and travelling
Ex 13D Weighted graphs and networks
Ex 13E Dijkstra's algorithm
Ex 13F Trees and minimum connector problems
Chapter 13 Review
Chapter 14: Flow, matching and scheduling problems
Ex 14A Flow problems
Ex 14B Matching and allocation problems
Ex 14C Precedence tables and activity networks
Ex 14D Scheduling problems
Ex14E Crashing
Chapter 14 Review
Chapter 16: Revision: Networks and decision mathematics
Networks Booklet
Networks Booklet
Networks Booklet Solutions
Networks SAC Preparation
2019 SJC Networks SAC
Exam Revision
Before and During The Exam
Exam Prep Financial Mathematics
2016 Past Papers
2017 Past Papers
2018 Past Papers
2019 Past Papers
2020 Current Practise Papers
2021 Practice Papers
2023 Practice Papers
2024 Practice Papers
Lesson Starters
Finding the interest rate from a graph
More
Home
Headstart
Program for 2024
Summary Book
Chapter 1 Data Analysis
Holiday Homework
Year 12 Parent Information Evening
Data Analysis
Chapter 1: Displaying and describing data distributions
Chapter 1 Text
Ex 1A Types Of Data
Ex 1B Displaying and describing the distributions of categorical variables
Ex 1C Displaying and describing numerical data
Ex 1D Dot plots and stem plots
Ex 1E Using a logarithmic (base 10) scale to display data.
Ex 1F Measures Of Centre And Spread
Ex 1G The five-number summary and the box plot
Review and Holiday Homework
Ex 1H The normal distribution and the 68–95–99.7% rule
Chapter 1 Review
Chapter 2: Investigating associations between two variables
Chapter 2 Text
Ex 2A Classifying Variables
Ex 2B Investigating associations between categorical variables
Ex 2C Investigating the association between a numerical and a categorical v
Ex 2D Investigating associations between two numerical variables
Ex 2E How to interpret a scatterplot
Ex 2F Calculating the correlation coefficient
Ex 2G The coefficient of determination
Ex 2I Which graph?
Chapter 2 Review
Chapter 3: Investigating and modelling linear associations
Chapter 3 Text
Ex 3A Fitting a least squares regression line to numerical data
Ex 3B Using the least squares regression line to model a relationship
Ex 3C Conducting a regression analysis using data
Chapter 3 Review
Chapter 4: Data transformation
Chapter 4 Text
Data Transformations Introduction
4A The squared transformation
4B The log transformation
4C The reciprocal transformation
4D Choosing and applying the appropriate transformation
The Data Transformation Song
Chapter 4 Review
Chapter 5: Investigating and modelling time series
Ex 5A Time series data
Ex 5B Smoothing a time series using moving means
Ex 5C Smoothing a time series plot using moving medians
Ex 5D Seasonal indices
Ex 5E Fitting a trend line and forecasting
Chapter 5 Review
Chapter 6: Revision: Data analysis
Ex 6A Exam 1 style questions: Univariate data
Ex 6B Exam 1 style questions: Associations
Ex 6C Exam 1 style questions: Regression and data transformation
Ex 6D Exam 1 style questions: Time series
Ex 6E Exam 2 style questions
Data Anaysis SAC Prepartation
Previous Data Analysis SAC
Data Booklet
Data Booklet
Data Booklet Solutions
Financial Mathematics
Chapter 7: Modelling growth and decay using recursion
Ex 7A Sequences and recurrence relations
Ex 7B Modelling linear growth and decay
Ex 7C Using an explicit rule for linear growth or decay
Ex 7D Modelling geometric growth and decay
Ex 7E Using an explicit rule for geometric growth or decay
Ex 7F Interest rates over different time periods and effective interest rat
Chapter 7 Review
Chapter 8: Reducing balance loans, ann reducing-balance loads and annuities
Ex 8A Combining linear and geometric growth or decay to model compound inte
Ex 8B Using recurrence relations to analyse and model reducing balance loan
Ex 8C Amortisation tables
Ex 8D Analysing financial situations using amortisation tables
Ex 8E Using a finance solver to find the balance and final payment
Ex 8F Using A Finance Solver To Find Interest Rates
Ex 8G Solving multistep financial problems
Ex 8H Interest-only loans
Ex 8I Perpetuities
Chapter 8 Review
Chapter 9: Revision: recursion and financial modelling
Chapter 9 Exam Style Questions
Financial SAC Preparation
Past Paper(s)
Past Exam Questions
Financial Booklet
Financial Booklet
Financial Booklet Solutions
Financial Summary Notes
Matrices
Chapter 10: Matrices
Ex 10A What is a matrix?
Ex 10B Using matrices to represent information
Ex 10C Matrix arithmetic: addition, subtraction and scalar multiplication
Ex 10D Matrix arithmetic: the product of two matrices
Ex 10E Matrix inverse, the determinant and matrix equations
Ex 10F Binary, permutation and communication matrices
Ex 10G Dominance matrices
Chapter 10 Review
Chapter 11: Transition matrices and Leslie matrices
Ex 11A Transition matrices - setting up a transition matrix
Ex 11B Interpreting transition matrices
Ex 11C Transition matrices - using recursion
Ex 11D Transition matrices - using the rule
Ex 11E Leslie matrices
Chapter Review
Chapter 12: Revision: Matrices
Matrices Booklet
Matrices Booklet
Matrices Booklet Solutions
Matrices SAC Preparation
Networks
Chapter 13: Graphs, networks and trees: travelling and connecting problems
Ex 13A Graphs and networks
Ex 13B Adjacency matrices
Ex 13C Exploring and travelling
Ex 13D Weighted graphs and networks
Ex 13E Dijkstra's algorithm
Ex 13F Trees and minimum connector problems
Chapter 13 Review
Chapter 14: Flow, matching and scheduling problems
Ex 14A Flow problems
Ex 14B Matching and allocation problems
Ex 14C Precedence tables and activity networks
Ex 14D Scheduling problems
Ex14E Crashing
Chapter 14 Review
Chapter 16: Revision: Networks and decision mathematics
Networks Booklet
Networks Booklet
Networks Booklet Solutions
Networks SAC Preparation
2019 SJC Networks SAC
Exam Revision
Before and During The Exam
Exam Prep Financial Mathematics
2016 Past Papers
2017 Past Papers
2018 Past Papers
2019 Past Papers
2020 Current Practise Papers
2021 Practice Papers
2023 Practice Papers
2024 Practice Papers
Lesson Starters
Finding the interest rate from a graph
Ex 13E Dijkstra's algorithm
Snippets: Dijksta's Algorithm
Ex 13E.docx
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